Search a number
-
+
230483946 = 23721131931
BaseRepresentation
bin11011011110011…
…10011111101010
3121001200210112110
431233032133222
5433000441241
634512023150
75466036600
oct1557163752
9531623473
10230483946
11109114000
1265231ab6
133899b644
1422879870
151537b816
hexdbce7ea

230483946 has 192 divisors, whose sum is σ = 640880640. Its totient is φ = 54885600.

The previous prime is 230483933. The next prime is 230483947. The reversal of 230483946 is 649384032.

230483946 = 3082 + 3092 + ... + 8962.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (230483947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7434951 + ... + 7434981.

It is an arithmetic number, because the mean of its divisors is an integer number (3337920).

Almost surely, 2230483946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230483946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320440320).

230483946 is an abundant number, since it is smaller than the sum of its proper divisors (410396694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230483946 is a wasteful number, since it uses less digits than its factorization.

230483946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 230483946 is about 15181.6977311498. The cubic root of 230483946 is about 613.1219912858.

The spelling of 230483946 in words is "two hundred thirty million, four hundred eighty-three thousand, nine hundred forty-six".